write a translation rule that maps D(7, -3) onto D' (2,5)
(x,y) -> (x-5,y+8)
To find the translation rule that maps point D(7, -3) onto point D'(2, 5), we need to determine the horizontal and vertical shifts.
Let's start by analyzing the horizontal shift. The x-coordinate of D' is 2, while the x-coordinate of D is 7. Therefore, D' is 5 units to the left of D. This indicates a horizontal shift of -5 units.
Next, let's determine the vertical shift. The y-coordinate of D' is 5, while the y-coordinate of D is -3. Thus, D' is 8 units higher than D. This means there is a vertical shift of +8 units.
Putting it all together, the translation rule for mapping D(7, -3) onto D'(2, 5) is:
- Shift 5 units to the left (horizontal shift of -5).
- Shift 8 units up (vertical shift of +8).
Therefore, the translation rule is: (x, y) → (x - 5, y + 8).